What is the Greatest Common Factor of 68064 and 68080?

Greatest common factor (GCF) of 68064 and 68080 is 16.

GCF(68064,68080) = 16

We will now calculate the prime factors of 68064 and 68080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68064 and 68080.

How to find the GCF of 68064 and 68080?

We will first find the prime factorization of 68064 and 68080. After we will calculate the factors of 68064 and 68080 and find the biggest common factor number .

Step-1: Prime Factorization of 68064

Prime factors of 68064 are 2, 3, 709. Prime factorization of 68064 in exponential form is:

68064 = 2⁵ × 3¹ × 709¹

Step-2: Prime Factorization of 68080

Prime factors of 68080 are 2, 5, 23, 37. Prime factorization of 68080 in exponential form is:

68080 = 2⁴ × 5¹ × 23¹ × 37¹

Step-3: Factors of 68064

List of positive integer factors of 68064 that divides 68064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 709, 1418, 2127, 2836, 4254, 5672, 8508, 11344, 17016, 22688, 34032

Step-4: Factors of 68080

List of positive integer factors of 68080 that divides 68064 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 37, 40, 46, 74, 80, 92, 115, 148, 184, 185, 230, 296, 368, 370, 460, 592, 740, 851, 920, 1480, 1702, 1840, 2960, 3404, 4255, 6808, 8510, 13616, 17020, 34040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68064 and 68080. The biggest common factor number is the GCF number.
So the greatest common factor 68064 and 68080 is 16.

Also check out the Least Common Multiple of 68064 and 68080